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Sergeu [11.5K]
2 years ago
14

3/4 of a number increased by 1/2 is equal to 14. find the number

Mathematics
2 answers:
PIT_PIT [208]2 years ago
6 0

Answer:

21

Step-by-step explanation:

14*2=28

28(3/4)=21

21/(3/4)=28

28/2=14

lozanna [386]2 years ago
4 0

Answer:<em> </em><em>Second Option </em>

18

Step-by-step explanation:

\frac{3}{4} of a number is:

\frac{3}{4}x

\frac{3}{4} of a number is increased by \frac{1}{2} is equal to 14

This is:

\frac{3}{4}x+\frac{1}{2}=14

Now we solve the equation for the variable x

\frac{3}{4}x=14-\frac{1}{2} →  Subtract \frac{1}{2} on both sides of the equation

\frac{3}{4}x=\frac{27}{2}

x=\frac{27}{2}*\frac{4}{3} →   Multiply by \frac{4}{3} on both sides of the equation

x=9*2

x=18

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Answer:

Please check the explanation.

Step-by-step explanation:

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a)

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                = 2x -1 + 2 - x

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b)

f(x) - g(x) = (2x - 1) - (2 - x)

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g(-5) - f(-5)

Putting x = -5 in g(x) = 2 - x

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g(-5) = 2 - (-5) = 2+5 = 7

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Thus,

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3 years ago
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Answer:

A. You can replace ‘a number’ with a variable to represent an unknown value.

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Step-by-step explanation:

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3 years ago
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triangle AMY ~ MEG , AM = 5 MY=7 AY =3. MEG IS A DILATION of AMY by a scale facyor of 1/3. fimd the perimeter of MEG.
Mademuasel [1]

Answer:

7

Explanation:

From the question, we're told that triangles AMY and MEG are similar. If triangle AMY has sides AM = 5, MY = 7, and AY = 3 then we can find the side lengths of triangle MEG since we're told from the question that it is a dilation of AMY by a scale factor of 1/3.

So all we need to is multiply the corresponding sides of AMY by 1/3, so we'll have;

\begin{gathered} ME=5\ast\frac{1}{3}=\frac{5}{3} \\ EG=7\ast\frac{1}{3}=\frac{7}{3} \\ MG=3\ast\frac{1}{3}=3 \end{gathered}

We can then go ahead and find the perimeter of MEG. Note that to find the perimeter of a triangle, we add all the length of its sides;

\begin{gathered} \text{Perimeter of MEG}=\frac{5}{3}+\frac{7}{3}+3 \\ =\frac{5+7+9}{3} \\ =\frac{21}{3} \\ =7 \end{gathered}

The perimeter of MEG is 7.

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